20575674570000 has 400 divisors, whose sum is σ = 74001038487552. Its totient is φ = 4881910080000.

The previous prime is 20575674569963. The next prime is 20575674570001. The reversal of 20575674570000 is 7547657502.

It is a tau number, because it is divible by the number of its divisors (400).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20575674570001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14846697 + ... + 16173303.

Almost surely, 2^{20575674570000} is an apocalyptic number.

20575674570000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20575674570000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37000519243776).

20575674570000 is an abundant number, since it is smaller than the sum of its proper divisors (53425363917552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20575674570000 is a wasteful number, since it uses less digits than its factorization.

20575674570000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326696 (or 1326675 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 48.

The spelling of 20575674570000 in words is "twenty trillion, five hundred seventy-five billion, six hundred seventy-four million, five hundred seventy thousand".